Considering recent gene-based research has suggested that dogs began splitting from the European grey wolf - and from apparently only ONE long-standing population of them - about 44,000 years ago, I'd say the dog is probably a product of the European breed of human.

And was a co-culprit in the extinction of a lot of late ice-age megafauna. Of course humans would have been living in what would essentially have been mobile hamlets, with 50-150 humans, and probably half as many dogs with them. Of course teams of men - with their packs of wolf-like dogs - would have gone after the largest "game" around. The instinct never left, as evidenced by the elephant-hunting craze of the late Victorian era.